Hey farmdude, that snow sprinkled in the grass sure looks pretty,... and cold!
Ya kno, you can't hunt rocks if the ground is covered with 3 feet of snow.
Hope the harvest is in and went well.
I hope you got an empty barn up there somewhere for all these rocks you're going to be bringing home! You're going to have to open your own museum! I don't don't know what that rock is but it belongs in a museum! Maybe your museum?
I think it's probably limestone and it's upsidedown in the pictures. I'm guessing it's a sedimentary layer of limestone that settled into and filled a hole on another surface, or the top of the layer below the limestone.
It could be a fossilized dinosaur vertebrae or an extinct rare coral formation, if you want to think of all the possibilities.
I can't see from a picture whether that piece has been worked and ground. You did find it in an area with other ground objects? And nature may have started the piece and man just altered it a little?
I could find precious little about the history of finds of fullgrooved axe heads or tools from South Dakota, but will continue looking. Iowa has a great archaeology department.
I'm putting a link to a site talking about the curation and classifying of artifacts from South Dakota. I don't expect you to absorb all the information in one read, but surf thru it and read what you want. Mainly the article gives you a good look at how archaeologist operate. And take special note of the Knife River Flint "flakes" from reduction in the stone tool making process mentioned.
https://nmnh.typepad.com/rogers_archaeology_lab/collections-management/